13363481880 has 576 divisors, whose sum is σ = 52914513600. Its totient is φ = 2912716800.

The previous prime is 13363481863. The next prime is 13363481881. The reversal of 13363481880 is 8818436331.

13363481880 is a `hidden beast` number, since 1 + 3 + 3 + 634 + 8 + 1 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13363481881) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 77245474 + ... + 77245646.

It is an arithmetic number, because the mean of its divisors is an integer number (91865475).

Almost surely, 2^13363481880 is an apocalyptic number.

13363481880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13363481880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26457256800).

13363481880 is an abundant number, since it is smaller than the sum of its proper divisors (39551031720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13363481880 is a wasteful number, since it uses less digits than its factorization.

13363481880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 13363481880 in words is "thirteen billion, three hundred sixty-three million, four hundred eighty-one thousand, eight hundred eighty".